JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x) = \int\limits_0^x {g(t)dt} ,

where

g

is a non-zero even function. If

f(x + 5) = g(x),

then

\int\limits_0^x {f(t)dt}

equals

View answer and explanation

Correct option: D

\int\limits_{x + 5}^5 {g(t)\,dt}

Option D (

\int\limits_{x + 5}^5 {g(t)\,dt}

) is correct because after applying the properties of even and odd functions, and using substitution, the integral simplifies to this form.

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